Details

analyze1.5s (14.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.1%	83.6%	0.3%	14

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.5s (15.1%)

Results

899.0ms	6925×	body	128	valid
157.0ms	1283×	body	128	invalid
152.0ms	508×	body	512	valid
148.0ms	372×	body	1024	valid
77.0ms	381×	body	256	valid
34.0ms	70×	body	2048	valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

825×	`unsub-neg_binary64`
766×	`fma-def_binary64`
693×	`div-sub_binary64`
637×	`sub-neg_binary64`
587×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	17
3	144	17
4	421	17
5	1090	17
6	2642	17
7	3865	17
8	4364	17
9	4936	17
10	4941	17

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

10.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	11.5b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)
	23.6b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 100 to 55 computations (45% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
✓	3.7b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)

series76.0ms (0.7%)

Counts

2 → 96

Calls

2 calls:

56.0ms	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)
19.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

2 → 64

Calls

2 calls:

9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
0.0ms	(fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

615×	`cancel-sign-sub-inv_binary64`
513×	`sub-neg_binary64`
366×	`associate-+r+_binary64`
300×	`+-commutative_binary64`
270×	`associate-+l+_binary64`

Counts

160 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	5871
1	1049	5776
2	3942	5716
3	5417	5716

prune140.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	142	12	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	144	12	156

Error

1.2b

Counts

156 → 12

Alt Table

Status	Error	Program
	44.0b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	12.0b	(fma.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))) x)
	28.4b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (-.f64 z t) (-.f64 (.f64 a a) (*.f64 t t))) (+.f64 a t)) x)
	36.8b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (sqrt.f64 (-.f64 a t)))) x)
	33.8b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 (.f64 z z) (.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
	39.3b	(-.f64 (+.f64 (/.f64 (.f64 y (.f64 t z)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y z) a) (+.f64 (/.f64 (.f64 (pow.f64 t 2) x) (pow.f64 a 2)) (+.f64 x (/.f64 (.f64 t x) a))))) (+.f64 (/.f64 (.f64 t (.f64 z x)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 z x) a)))))
▶	11.9b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	48.2b	(fma.f64 (-.f64 y x) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 t)) (-.f64 a t))) x)
	19.2b	(fma.f64 (-.f64 y x) (cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (/.f64 (-.f64 z t) (-.f64 a t))) (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	19.3b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	41.9b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))

Compiler

Compiled 5617 to 1825 computations (67.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
✓	0.4b	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
✓	3.7b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
✓	3.8b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

series875.0ms (8.6%)

Counts

4 → 168

Calls

4 calls:

577.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
186.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
72.0ms	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
40.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite116.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

303×	`*-un-lft-identity_binary64`
248×	`cbrt-prod_binary64`
247×	`add-sqr-sqrt_binary64`
205×	`times-frac_binary64`
96×	`distribute-lft-out--_binary64`

Counts

4 → 284

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
26.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
5.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
0.0ms	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)

simplify273.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

642×	`*-commutative_binary64`
274×	`associate-+r+_binary64`
244×	`associate-r_binary64`
218×	`fma-def_binary64`
167×	`associate-/l*_binary64`

Counts

452 → 489

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1691	26169
1	5248	26169

prune1.0s (10%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	684	3	687
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	685	14	699

Error

1.2b

Counts

699 → 14

Alt Table

Status	Error	Program
	12.0b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)
	48.2b	(fma.f64 (-.f64 y x) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 t)) (-.f64 a t))) x)
	34.5b	(-.f64 (+.f64 (/.f64 (.f64 z y) a) (+.f64 (/.f64 (.f64 t x) a) x)) (+.f64 (/.f64 (*.f64 z x) a) (/.f64 y (/.f64 a t))))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	44.0b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	12.0b	(fma.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))) x)
	28.4b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (-.f64 z t) (-.f64 (.f64 a a) (*.f64 t t))) (+.f64 a t)) x)
	36.8b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (sqrt.f64 (-.f64 a t)))) x)
	33.8b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 (.f64 z z) (.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
	39.3b	(-.f64 (+.f64 (/.f64 (.f64 y (.f64 t z)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y z) a) (+.f64 (/.f64 (.f64 (pow.f64 t 2) x) (pow.f64 a 2)) (+.f64 x (/.f64 (.f64 t x) a))))) (+.f64 (/.f64 (.f64 t (.f64 z x)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 z x) a)))))
✓	11.9b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	19.2b	(fma.f64 (-.f64 y x) (cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (/.f64 (-.f64 z t) (-.f64 a t))) (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	41.9b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
▶	11.5b	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)

Compiler

Compiled 52549 to 21581 computations (58.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 a t))
✓	0.0b	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
✓	0.0b	(/.f64 t (-.f64 a t))
✓	3.7b	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)

series128.0ms (1.3%)

Counts

4 → 135

Calls

4 calls:

72.0ms	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)
29.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
17.0ms	(/.f64 z (-.f64 a t))
9.0ms	(/.f64 t (-.f64 a t))

rewrite167.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

728×	`*-un-lft-identity_binary64`
718×	`add-sqr-sqrt_binary64`
708×	`times-frac_binary64`
441×	`prod-diff_binary64`
422×	`add-cube-cbrt_binary64`

Counts

4 → 601

Calls

4 calls:

32.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
4.0ms	(/.f64 z (-.f64 a t))
4.0ms	(/.f64 t (-.f64 a t))
0.0ms	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)

simplify672.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-udef_binary64`
277×	`fma-neg_binary64`
270×	`associate-/l*_binary64`
263×	`unsub-neg_binary64`
212×	`associate--l+_binary64`

Counts

736 → 700

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	834	47765
1	2055	30241
2	4561	30241
3	4978	30241

prune772.0ms (7.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	700	0	700
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	700	14	714

Error

1.2b

Counts

714 → 14

Alt Table

Status	Error	Program
▶	12.0b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)
	48.2b	(fma.f64 (-.f64 y x) (*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 z)) (/.f64 (-.f64 (sqrt.f64 z) (sqrt.f64 t)) (-.f64 a t))) x)
	34.5b	(-.f64 (+.f64 (/.f64 (.f64 z y) a) (+.f64 (/.f64 (.f64 t x) a) x)) (+.f64 (/.f64 (*.f64 z x) a) (/.f64 y (/.f64 a t))))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	44.0b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	12.0b	(fma.f64 (-.f64 y x) (/.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))) x)
	28.4b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (-.f64 z t) (-.f64 (.f64 a a) (*.f64 t t))) (+.f64 a t)) x)
	36.8b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (sqrt.f64 (-.f64 a t)))) x)
	33.8b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 (.f64 z z) (.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
	39.3b	(-.f64 (+.f64 (/.f64 (.f64 y (.f64 t z)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y z) a) (+.f64 (/.f64 (.f64 (pow.f64 t 2) x) (pow.f64 a 2)) (+.f64 x (/.f64 (.f64 t x) a))))) (+.f64 (/.f64 (.f64 t (.f64 z x)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 z x) a)))))
✓	11.9b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	19.2b	(fma.f64 (-.f64 y x) (cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (/.f64 (-.f64 z t) (-.f64 a t))) (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	41.9b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
✓	11.5b	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)

Compiler

Compiled 36062 to 6768 computations (81.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
✓	1.5b	(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))
	3.8b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
✓	5.9b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)

series218.0ms (2.1%)

Counts

3 → 120

Calls

3 calls:

107.0ms

(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))

73.0ms

(fma.f64 (-.f64 y x) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)

38.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`

Counts

3 → 86

Calls

3 calls:

6.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

6.0ms

(cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))

0.0ms

(fma.f64 (-.f64 y x) (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-l_binary64`
414×	`fma-def_binary64`
262×	`times-frac_binary64`
212×	`*-commutative_binary64`
199×	`associate-/l*_binary64`

Counts

206 → 242

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	816	10675
1	2196	10376
2	5335	10376

prune561.0ms (5.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	438	2	440
Fresh	2	9	11
Picked	1	0	1
Done	0	2	2
Total	441	13	454

Error

1.2b

Counts

454 → 13

Alt Table

Status	Error	Program
	33.8b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))) (cbrt.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))))) x)
	41.9b	(-.f64 (+.f64 y (+.f64 (/.f64 (.f64 z x) t) (/.f64 (.f64 a y) t))) (+.f64 (/.f64 (.f64 a x) t) (/.f64 (.f64 y z) t)))
✓	11.5b	(fma.f64 (-.f64 y x) (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))) x)
	12.6b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)) (cbrt.f64 (fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x))) (cbrt.f64 (fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))) x)))
	34.5b	(-.f64 (+.f64 (/.f64 (.f64 z y) a) (+.f64 (/.f64 (.f64 t x) a) x)) (+.f64 (/.f64 (*.f64 z x) a) (/.f64 y (/.f64 a t))))
	29.5b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)) x)))
	44.0b	(*.f64 (-.f64 (/.f64 y (-.f64 a t)) (/.f64 x (-.f64 a t))) z)
	28.4b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (-.f64 z t) (-.f64 (.f64 a a) (*.f64 t t))) (+.f64 a t)) x)
	36.8b	(fma.f64 (-.f64 y x) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (sqrt.f64 (-.f64 a t)))) x)
	33.8b	(fma.f64 (-.f64 y x) (/.f64 (-.f64 (.f64 z z) (.f64 t t)) (*.f64 (-.f64 a t) (+.f64 z t))) x)
	39.3b	(-.f64 (+.f64 (/.f64 (.f64 y (.f64 t z)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y z) a) (+.f64 (/.f64 (.f64 (pow.f64 t 2) x) (pow.f64 a 2)) (+.f64 x (/.f64 (.f64 t x) a))))) (+.f64 (/.f64 (.f64 t (.f64 z x)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y (pow.f64 t 2)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 z x) a)))))
✓	11.9b	(fma.f64 (-.f64 y x) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) x)
	19.2b	(fma.f64 (-.f64 y x) (cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (/.f64 (-.f64 z t) (-.f64 a t))) (/.f64 (-.f64 z t) (-.f64 a t)))) x)

Compiler

Compiled 36815 to 13767 computations (62.6% saved)

regimes1.5s (14.3%)

Accuracy

Total 6.8b remaining (87.1%)

Threshold costs 0b (0%)

Counts

162 → 3

Compiler

Compiled 28668 to 14472 computations (49.5% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
17×	`*-commutative_binary64`
17×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	149
1	68	149
2	91	149
3	111	149
4	134	149
5	144	149
6	150	149
7	152	149
8	150	149

end227.0ms (2.2%)

Compiler: Compiled 753 to 307 computations (59.2% saved)

Iter	Nodes	Cost
0	44	149
1	68	149
2	91	149
3	111	149
4	134	149
5	144	149
6	150	149
7	152	149
8	150	149

Iter	Nodes	Cost
0	44	149
1	68	149
2	91	149
3	111	149
4	134	149
5	144	149
6	150	149
7	152	149
8	150	149

Details

analyze1.5s (14.6%)

sample1.5s (15.1%)

simplify84.0ms (0.8%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series76.0ms (0.7%)

rewrite13.0ms (0.1%)

simplify116.0ms (1.1%)

prune140.0ms (1.4%)

localize11.0ms (0.1%)

series875.0ms (8.6%)

rewrite116.0ms (1.1%)

simplify273.0ms (2.7%)

prune1.0s (10%)

localize12.0ms (0.1%)

series128.0ms (1.3%)

rewrite167.0ms (1.6%)

simplify672.0ms (6.6%)

prune772.0ms (7.6%)

localize20.0ms (0.2%)

series218.0ms (2.1%)

rewrite23.0ms (0.2%)

simplify155.0ms (1.5%)

prune561.0ms (5.5%)

regimes1.5s (14.3%)

bsearch7.0ms (0.1%)

simplify8.0ms (0.1%)

end227.0ms (2.2%)

Profiling

Iter	Nodes	Cost
0	44	149
1	68	149
2	91	149
3	111	149
4	134	149
5	144	149
6	150	149
7	152	149
8	150	149